λ
Harmonic Matrix

6,718,313

7 × 959759
Deficient Odd Composite

6,718,313 has digital root 2. The neighboring primes are 6718303 and 6718319; its proper-divisor sum differs from the starting integer by -5,758,546.

Prime Factor Structure

Factorization String 7 × 959759
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,678,080
Proper Divisor Sum 959,767
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6718303 ← → #6718319

Radix Representation

Decimal 6718313
Binary 11001101000001101101001 (23 bits)
Octal 0o31501551
Hexadecimal 0x668369

Divisor Catalog (4)

1 7 959,759 6,718,313

Collatz Trajectory (253 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,718,313 20,154,940 10,077,470 5,038,735 15,116,206 7,558,103 22,674,310 11,337,155 34,011,466 17,005,733 51,017,200 25,508,600 12,754,300 6,377,150 3,188,575 9,565,726 4,782,863 14,348,590 7,174,295 21,522,886 10,761,443 32,284,330 16,142,165 48,426,496 24,213,248 12,106,624 6,053,312 3,026,656 1,513,328 756,664 378,332 189,166 94,583 283,750 141,875 425,626 212,813 638,440 319,220 159,610 79,805 239,416 119,708 59,854 29,927 89,782 44,891 134,674 67,337 202,012 101,006 50,503 151,510 75,755 227,266 113,633 340,900 170,450 85,225 255,676

More profiles

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